Atkin-Lehner |
5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11045d |
Isogeny class |
Conductor |
11045 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
9530626953125 = 59 · 474 |
Discriminant |
Eigenvalues |
-1 2 5- -2 3 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35390,-2572970] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:93:1] |
Generators of the group modulo torsion |
j |
1004557349281/1953125 |
j-invariant |
L |
4.343053134626 |
L(r)(E,1)/r! |
Ω |
0.34812088230917 |
Real period |
R |
1.3861893495212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99405g1 55225c1 11045b1 |
Quadratic twists by: -3 5 -47 |